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x 2 - 3 x + + y 2 + 10 y + 25 = 1 + + 25 =
factor this When adding the numbers to both sides make sure and place them properly. This means that we
need to put the number from the coefficient of the x with the x terms and the number from the
coefficient of the y with the y terms. This placement is important since this will be the only way
that the quadratics will factor as we need them to factor.
Now, factor the quadratics as show above. This will give the standard form of the equation of the
ç x - ÷ + ( y + 5) =
This looks a little messier than the equations that we’ve seen to this point. However, this is
something that will happen on occasion so don’t get excited about it. Here is the center and
radius for this circle.
© 2007 Paul Dawkins 173 http://tutorial.math.lamar.edu/terms.aspx College Algebra æ3
center = ç , -5 ÷
ø radius = 113
2 Do not get excited about the messy radius or fractions in the center coordinates.
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12